The q-Markov-WZ Method
- Cite this article as:
- Mohammed, M. Ann. Comb. (2005) 9: 205. doi:10.1007/s00026-005-0252-8
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Andrei Markov’s 1890 beautiful ad-hoc method of transforming a series of hypergeometric type into a rapidly-converging series was upgraded recently to a full-fledged method by Mohammed and Zeilberger, but only for the ordinary case. In this article, the q-case is developed and it is shown how Markov’s ad-hoc method, when coupled with q-WZ theory and q-Gosper’s algorithm, leads to a new class of identities and very fast convergence-acceleration series that can be applied to any infinite series of q-hypergeometric type.